Symmetric functions and the explicit moment problem for abelian groups

preprint2026arXivOpen access

Recently, Sawin and Wood (arXiv:math/2210.06279) proved a formula for the distribution of a random abelian group $G$ in terms of its $H$ -moments $\mathbb{E} [\#\operatorname{Sur}(G,H)]$ . We show that properties of Macdonald polynomials yield an alternate proof.

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Symmetric functions and the explicit moment problem for abelian groups

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